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Name: __________________________ Date: _____________ 1. Write the ratio of 4 1 to 6 in simplest form. 3 4 1/3 = 13/3 Multiply by 3: 13 to 18 2. Find the missing length of the right triangle. Pythagorean theorem: 20^2 + 48^2 = c^2 2704 = c^2 c = 52 C) 52 3. Write 4 1 as a percent. 8 4 1/8 = 4.125 Multiply by 100: 412.5% C) 412.5% Page 1 4. If $5,600 is deposited into an account paying 5% interest compounded annually (at the end of each year), how much money is in the account after 3 years? A = P(1+r)^t A = 5600*(1+0.05)^3 A = $6482.70 5. 2 Write 116 % as a fraction or a mixed number. 3 Divide by 100: 1.16 2/3 B) 1 1 6 6. Find the best buy on pasta sauce (1 qt is 32 oz). A) 1 qt for $1.29 32 oz for $1.29 = just over 0.04 per oz B) 45 oz for $1.59 = just over 0.035 per oz C) 48 oz for $1.79 = just over 0.037 per oz D) 1 qt 16 oz for $1.99 1 qt = 32 oz + 16 oz = 48 oz = just over 0.041 per oz The best deal is B 7. Write 0.456 as a percent. Multiply by 100: 45.6 B) 45.6% Page 2 8. Multiply. 8 (5 min 18 s) Multiply: 40 min 144 sec Subtract off 120 sec and add 2 min: 42 min 24 sec 9. Complete the statement. 27.4 gal = ________ L 1 gal = 3.8 L 27.4 * 3.8 = 104.12 A) 104.12 10. Find mx and my. Y = 135, by vertical angles X = 180-135 = 45, by straight lines adding up to 180 11. Carlos works 8.25 h and receives $102.30 pay. What will he receive at the same rate if he works if he works 14 h? Set up a proportion: 8.25/102.30 = 14/x Cross multiply: 8.25x = 102.30*14 Divide by 8.25: x = 173.60 B) $173.60 Page 3 12. The width of a swimming pool is 18.5 ft, and the length is 10.75 ft. Write the ratio of length to width as ratio of whole numbers. 10.75 to 18.5 Multiply by 4: 43 to 74 C) 43 74 13. Find the missing angle. The sum of the angles is 180: 180-75-73 = 32 D) 32 14. Jimmy is traveling at a speed of 60 mi/h. What is his speed in feet per second? 5280 ft/mi 3600 s/hr 60 mi/hr * 1/3600 hr/s * 5280 ft/mi = 88 ft/s C) 88 ft/s Page 4 15. mB 58 Find the complement of B. Complements add to 90: 90-58 = D) 32 16. Simplify. 10 lb 28 oz 16 oz per pound 28-16 = 12 oz So: 11 lb 12 oz D) 11 lb 12 oz 17. Complete the statement. 7,500 mg = ________ g There are 1000 mg in a g: 7500/1000 = 7.5 D) 7.5 Page 5 18. Which pair of fractions is proportional? The right side simplifies to 2. The left side must do that as well. 6/3 = 2, so A works. A) 0.4 ? 6 0.2 3 19. 35% of 600 is what number? 35% = 0.35 Multiply: 0.35*600 = 210 D) 210 20. Automobiles and small trucks account for 84% of the travel to and from work in the United States. What fraction represents all other means of travel to and from work in the United States? 84% = 0.84 = 84/100 = 42/50 = 21/25 Subtract that from 1 (25/25): 25/25 – 21/25 = 4/25 Page 6 21. 2 1.8 Solve for the unknown: 3 . 10 r Cross multiply: 2/3 r = 18 Multiply by 3/2: r = 27 D) 27 22. 97.3 is 7% of what number? 7% = 0.07 Divide: 97.3/0.07 = 1390 B) 1,390 23. mB 65 Find the supplement of B. Supplements add to 180: 180-65 = 115 Page 7 24. A state sales tax rate is 4.8%. If the tax on a purchase was $23.76, what was the price of the purchase? 4.8% = 0.048 Divide: 23.76/0.048 = 495 B) $495 25. The two triangles are similar. Find the indicated side. Find b. Proportion: 7/3.5 = b/5 Cross multiply: 3.5b = 35 Divide by 3.5 10 = b Page 8